Alumnae and Alumni

My research interest is the existence problem of the canonical Kahler metrics such as Kahler-Einstein metrics. Nowadays it is conjectured that the condition for their existence would be described in terms of stability of manifolds in the sense of Geometric Invariant Theory. I think that an interesting point of this conjecture is that it connects two aspects; differential geometry and algebraic geometry. I expect that this problem could give us a new view of geometry.